Physics 1st Year Chapter 2 Vectors and Equilibrium MCQs Test

Physics Chapter 2 is about the study of Vectors and Equilibrium. Vector is a quantity that has both Magnitude and Direction but Scalar has magnitude only. Coordinates of Vectors, Addition, Resultant, Multiplication, Subtraction, Unit, Null, Equal, Position Vectors describes the properties of Vectors. Vector Addition by Rectangular Components, Scalar Product, Vector Product, and Torque are also illustrated in this Chapter. Equilibrium occurs when all the forces or torques acting on a body are equal.  There are two conditions of Equilibrium including Equilibrium of Forces and Equilibrium of Torques.

1st Year Physics Chapter # 2 KEY POINTS

1st year physics chapter 2 MCQs

 

Question #1:  Rectangular coordinate system is also called?

• Polar coordinate system
• Cartesian coordinate system
  
• Cylindrical-coordinate system
• Spherical coordinate system

Question #2: . The direction of a vector in space is specified by?

• One angle
• Two angle
• Three angle
• No angle

Question #3:  Addition of vector obey?

• Commutative law
• Distributive law
• Associative law
• All of these

Question #4:  Which of the following statement is correct about force and velocity?

• Force and velocity both are scalars
• Force and velocity both are vectors
  
• Force is scalar and velocity is vector
• Force is vector and velocity is scalar

Question #5:  Unit vector n is along?

• x-axis
• Normal on a surface
  
• y-axis
• z-axis

Question #6:  Cosθ i + Sinθ j is a?

• Vector
• Position vector
• A vector in the direction at angle θ with x-axis
• The unit vector in the direction at angle θ with x-axis

Question #7. Maximum number of rectangular components are?

• One
• Two
• Three
  
• Infinite

Question #8. The maximum number of components of a vector maybe?

• One
• Two
• Three
• Infinite

Question #9. Which one is not correct for a vector A = √2i +√2j?

• has direction θ = 45° with x-axis
• has magnitude
• has magnitude 2 and direction θ = 45° with the y-axis
• has magnitude -2

Question #10. The result of two forces of equal magnitudes is also equal to the magnitude of the forces. The angle between the two forces is?

• 30°
• 60°
• 90°
• 120°

Question #11. What is the angle that the given vector makes with y-axis A = 2i + √.12 j?

• 30°
• 60°
  
• 90°
• 120°

Question #12. In which quadrant the two rectangular components of a vector have same sign?

• 1^st
• 2^nd
• Both 1^st and 3^rd
  
• 4^th

Question #13. Two vectors A and B are making angle θ with each other. The scalar projection of vector B on vector A is written as?

• A.B/A
  
• A.B/B –
• A.cosθ
• Both a and b are correct

Question #14. Two vectors are A = 3i + 2j – k and B = 3i – 2j + k then?

• B is antiparallel to A
  
• B is inclined at 60° with A
• B has a negative magnitude
• B is perpendicular to A

Question #15.  Arc of a triangle formed by vectors i and (i – j) is?

• 1
• 0
• ½ 
  
• Triangle cannot be formed by these vectors

Question #16. Which of the following is a scalar quantity?

• The braking force needed to stop the car
• The heat needed to boil some water
  
• The effort needed to hammer a nail into wood
• The thrust needed to lift a rocket off the ground

Question #17. Which is not a correct relation?

• A x B = A x B
• |A x B| = – |B x A|
  
• A x B = ABSinθn
• B x A = ABSinθ (-n)

Question #18. Out of the following set of forces, the resultant of which triplet cannot be zero?

• 10, 10, 10
• 10, 10, 20
• 10, 20, 40
  
• 10, 20, 20

Question #19. If east, west, north, south, up and down are representing the direction of unit vectors, then east x south has direction along?

• West
• North
• Down
  
• Up

 

Question #20. Null Vector is a vector which has?

• Zero magnitude
• No specified direction
• Both a and b are correct
  
• Both a and b are not correct

Question #21. Which one is a unit vector?

• √3i + √3j + √3k
• 1/√3 i + 1/√3j + 1/√3 k
• √3/3 i + √3/3j + √3/3 k
• Both b and c are correct

Question #22. Angle between A = i and B = i – j is?

• 0°
• 45°
  
• 90°
• 270°

Question #23. The magnitude of the cross product of two vectors is equal to the dot product between them. The angle between the two vectors?

• 30°
• 45°
  
• 60°
• 180°

Question #24. An airplane flies 400m due north and then flies 300m south and then flies 1200m. The net displacement is?

• 1500m
• 1200m
  
• 900m
• 700m

Question #25. A vector contains more information than a scalar. What is this extra information?

• Acceleration
• Direction
• Size
• Resultant

Question #26. Five equal forces of 10N each are applied at one point and all are lying in one place. If the angles between them are equal, the resultant force will be?

• 10N
• 20N
• 10 √2 N
  
• Zero

Question #27. The torque acting on a body determines?

• Acceleration
• Linear acceleration
• Angular acceleration
• The direction of motion of the body

Question #28. The torque acting on a body determines?

• [MLT^-1]
• [ML²T^-1]
• [ML²T^-2]
• [ML²T]

Question #29. A body will be in complete equilibrium when it is satisfying?

• 1^st condition of equilibrium
• 2^nd condition of equilibrium
• Both 1^st and 2^nd condition of equilibrium
• Impossible

Question #30. A body in equilibrium is?

• At rest
• In motion
• At rest or in uniform motion
  
• All are correct

Question #31. Three coplanar forces acting on a body keep it in equilibrium. They should therefore be?

• Concurrent
  
• Non-concurrent
• Parallel
• Non-parallel

Question #32. Which of the following pairs does not have identical dimensions?

• Torque and energy
• Momentum and impulse
• Energy and work
• Mass and moment of inertia

Question #33. A central force is that which?

• Can produce torque
• Can’t produce torque
• Some time can produce torque some time can’t
• Has no relation with torque

Question #34. It is easier to turn a steering wheel with both hands than with a single hand because?

• Acceleration force increase on the wheel
• Two forces act on the wheel
• Two hands provide a firm grip
• The couple acts on the wheel

Question #35. A force of 10N is acting along the y-axis. Its component along the x-axis is?

• Zero
• 10N
• 100N
• 5N

Question #36. The unit vector in the direction of vector A = 2i – 2j + k is?

• 2i – 2j + k/2
• 2i – 2j + k/9
• 2i – 2j + k/3
• 2i – 2j + k/5

Question #37. The magnitude of i.jxk is?

• 0
• 1
  
• -1
• i

Question #38: In which quadrant only, the value of ‘tan’ will be positive?

• First
• Second
• Third
• Both 1st and 3^rd

 

Question #39: The cross product of two vectors is zero when?

• They are parallel vectors
• They are anti-parallel vectors
• They are perpendicular vectors
• Both a and b are correct